document.write( "Question 146242: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks? \r
\n" ); document.write( "\n" ); document.write( "A. 2 minutes and 44 seconds
\n" ); document.write( "B. 2 minutes and 58 seconds
\n" ); document.write( "C. 3 minutes and 10 seconds
\n" ); document.write( "D. 3 minutes and 26 seconds
\n" ); document.write( "E. 4 minutes and 15 seconds \r
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Algebra.Com's Answer #106779 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Let's find the rate (per minute) of each person can do the job (mix 20 drinks).
\n" ); document.write( "If Steven can do the job (mix 20 drinks) in 5 minutes, then he can do 1/5 of the job in 1 minute.
\n" ); document.write( "If Susan can do the job (mix 20 drinks) in 10 minutes, then she can do 1/10 of the job in 1 minute.
\n" ); document.write( "If Jack can do the job (mix 20 drinks) in 15 minutes, then he can do 1/15 of the job in 1 minute.
\n" ); document.write( "Together, the three of them can do (1/5 + 1/10 + 1/15) of the job in 1 minute.
\n" ); document.write( "\"1%2F5+%2B+1%2F10+%2B+1%2F15+=+11%2F30\"
\n" ); document.write( "So if the three of them can do 11/30 of the job in 1 minute, then it takes them 30/11 minutes to do the whole job (mix 20 drinks).
\n" ); document.write( "\"30%2F11+=+2.7272\"minutes or 2 mins 44 secs.
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